42138256782208204800

42,138,256,782,208,204,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 42138256782208204800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 19278 divisors.

42138256782208204800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nineteen thousand, two hundred seventy-eight divisors.

Prime factorization of 42138256782208204800:

216 × 36 × 52 × 7 × 132 × 432 × 1272

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 43 × 43 × 127 × 127)

See below for interesting mathematical facts about the number 42138256782208204800 from the Numbermatics database.


Names of 42138256782208204800

  • Cardinal: 42138256782208204800 can be written as Forty-two quintillion, one hundred thirty-eight quadrillion, two hundred fifty-six trillion, seven hundred eighty-two billion, two hundred eight million, two hundred four thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.21382567822082048 × 1019

Factors of 42138256782208204800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 31
  • Sum of prime factors: 200

Divisors of 42138256782208204800

Bases of 42138256782208204800

  • Binary: 1001001000110010010010100101001001000011011011011100000000000000002
  • Hexadecimal: 0x248C929490DB70000
  • Base-36: 8W5A5DGTTS000

Squares and roots of 42138256782208204800

  • 42138256782208204800 squared (421382567822082048002) is 1775632684643315770175333256438743040000
  • 42138256782208204800 cubed (421382567822082048003) is 74822066016381763251537914553506210298425474486894592000000
  • The square root of 42138256782208204800 is 6491398676.8806770617
  • The cube root of 42138256782208204800 is 3479836.6281203233

Scales and comparisons

How big is 42138256782208204800?
  • 42,138,256,782,208,204,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 42,138,256,782,208,204,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 42138256782208204800 cubic inches would be around 289986.4 feet tall.

Recreational maths with 42138256782208204800

  • 42138256782208204800 backwards is 00840280228765283124
  • 42138256782208204800 is a Harshad number.
  • The number of decimal digits it has is: 20
  • The sum of 42138256782208204800's digits is 72
  • More coming soon!

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"Number 42138256782208204800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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Numbermatics. (2024). Number 42138256782208204800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42138256782208204800/

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Numbermatics. 2024. "Number 42138256782208204800 - Facts about the integer". https://numbermatics.com/n/42138256782208204800/

The information we have on file for 42138256782208204800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 42138256782208204800, math, Factors of 42138256782208204800, curriculum, school, college, exams, university, Prime factorization of 42138256782208204800, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, one hundred thirty-eight quadrillion, two hundred fifty-six trillion, seven hundred eighty-two billion, two hundred eight million, two hundred four thousand, eight hundred.

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